﻿ 测度链上动力方程两点边值问题多解的存在性

# 测度链上动力方程两点边值问题多解的存在性Existence of Multiple Solutions for Second Order Second-Point Boundary Value Problems of Dynamics Equation on Time Scale

Abstract: In this paper, by using the fixed point theorems with lattice structure, we discuss the existence of multiple solutions for the following second-point boundary value problems of dynamics equation on a general time scale. (1) where , Let T be a closed subset of the interval[0,1]  , with , and the function is continuous, with . Combining the eigenvalues of the relevant linear operator, the existence of positive, negative and sign-changing solutions is obtained under the condition that the nonlinear term is sublinear.

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